Ring.ord_mul

∀ (R : Type u_1) [inst : CommRing R] {a b : R}, b ∈ nonZeroDivisors R → Ring.ord R (a * b) = Ring.ord R a + Ring.ord R b

The order of vanishing of a * b is the order of vanishing of a plus the order of vanishing of b.

Defined in: Mathlib.RingTheory.OrderOfVanishing.Basic
Cited by: 3 results in Mathlib
Foundations: Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing

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